Can a person use a quadratic formula to isolate the square in the process of completing the square?

1 Answer

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crmhaske | College Teacher | (Level 3) Associate Educator

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The quadratic formula is arrived at by completing the square; therefore, theoretically one could use it to isolate the square through some simple rearranging:




Therefore, the square is b/(2a)

With some further rearranging, we can arrive at the quadratic in vertex form:




`h=b/(2a)` and` k=(c-b^2/(4a))` , where (h,k) is the vertex of the parabola.